?? tmlin2mx.tom
字號:
#############################################################################
##
#W tmlin2mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmlin2mx.tom,v 4.2 2001/07/05 07:01:59 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the tables of marks of maximal subgroups of $L2(??)$.
##
#H tomlib history
#H --------------
#H $Log: tmlin2mx.tom,v $
#H Revision 4.2 2001/07/05 07:01:59 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmlin2mx.tom,v
#H Working file: tmlin2mx.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:51:37; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 13:03:02; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmlin2mx_tom :=
"@(#)$Id: tmlin2mx.tom,v 4.2 2001/07/05 07:01:59 gap Exp $";
SetActualLibFileName("tmlin2mx");
LIBTOM( "109:54",
[[1],[1,2],[1,3],[1,2,3,4],[1,3,5],[1,2,3,4,5,6],[1,3,5,7],[1,2,3,4,5,6,7,8],[
1,9],[1,2,9,10],[1,3,9,11],[1,2,3,4,9,10,11,12],[1,3,5,9,11,13],[1,2,3,4,5,6,
9,10,11,12,13,14],[1,3,5,7,9,11,13,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16]],
0,
[[1],[1,1],[1,1],[1,1,1,1],[1,1,1],[1,1,1,1,1,1],[1,1,1,1],[1,1,1,1,1,1,1,1],[
1,1],[1,109,1,1],[1,109,1,1],[1,109,109,109,1,1,1,1],[1,109,109,1,1,1],[1,109,
109,109,109,109,1,1,1,1,1,1],[1,109,109,109,1,1,1,1],[1,109,109,109,109,109,
109,109,1,1,1,1,1,1,1,1]],
[1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886],
[16,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16],
[1,1,1,1,1,1,1,1,1,9,9,9,9,9,9,9],
[( 1, 44, 90,109,110, 6, 17, 82, 57,102, 24, 98, 36, 14, 93, 94, 8, 46)
( 2, 96, 38, 52, 85, 15, 72, 69, 91, 86,103, 88, 84, 3, 20, 77,108, 99)
( 4, 23, 31, 47, 55, 74, 33, 62, 81,104, 60, 87, 39, 65, 32, 48, 12, 26)
( 5, 67, 64, 75, 22, 71, 63, 56, 68, 45, 34, 16, 35, 50, 78, 25, 7, 49)
( 9, 18,106, 61, 37, 40, 73, 30, 66, 83, 53,105, 89, 92, 21, 58, 42, 95)
( 10, 19, 70,101, 97, 29, 43, 28, 80, 79, 76, 41, 51, 54, 27, 13,107, 11),
( 1, 30, 57, 75,109, 28, 5, 7, 82, 44, 88, 99, 65, 26, 85, 42, 52, 36, 98,
16, 18, 53, 47,103, 62, 89, 11, 63,102, 12, 80, 29, 19, 55,105, 91, 33, 79,
104, 43, 17, 66, 92, 56, 9,101, 4, 87, 32, 13, 72, 39, 69, 77)
( 2,100, 94, 20, 61, 81,107, 24, 31, 49, 3, 71, 41, 78, 8, 83, 64, 10, 15,
67, 84, 48, 27, 95, 46, 58, 51, 90, 97,106, 60, 37, 73, 14, 76, 70, 21, 22,
93, 23, 35, 38, 86, 50, 68, 54, 96, 74, 25, 6, 45, 34, 40,110)],
[[[[]]],[[[1,1,2,1],[3,1,2,1,3,1]]],[[[2,2,1,-1,2,1]]],[[[1,3]]],[[[1,
-4]]],[[[2,3]]],[[[1,2],[3,2,2,1,1,1]]],[[[1,1,2,2,1,2]]],[[[2,1,1,2,2,-1,1,
-2]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[1,1,2,1,1,-1,2,-1]]],[[[1,1,2,1,1,-1,2,
-1]],[[2,1,1,-1,2,2]]],[[[2,1,1,-1,2,-1,1,1]],[[1,-3]]],[[[2,1,1,1,2,-1,1,
-1]],[[1,2]]],[[[2,3]],[[1,1]]],[[[2,1,1,1]],[[2,2]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "(5x11).2",
[[1],[1,2],[1,3],[1,2,3,4],[1,5],[1,2,5,6],[1,3,5,7],[1,2,3,4,5,6,7,8]],
0,
[[1],[1,1],[1,1],[1,5,1,1],[1,1],[1,11,1,1],[1,1,1,1],[1,55,1,11,1,5,1,1]],
[1,2,5,10,11,22,55,110],
[8,2,8,4,8,6,8,8],
[1,1,1,3,1,5,1,7],
[( 1, 48)( 3, 12)( 4, 67)( 5, 15)( 6, 31)( 7, 51)( 8,101)( 9, 40)
( 10,106)( 11, 68)( 13, 73)( 14, 83)( 16, 62)( 17, 87)( 18, 90)( 19, 39)
( 20, 22)( 21, 77)( 23, 65)( 24, 41)( 25, 64)( 26, 58)( 27, 95)( 28, 46)
( 30, 99)( 32,102)( 33,103)( 34, 74)( 35, 36)( 37, 88)( 38, 55)( 42, 79)
( 43, 50)( 44, 82)( 45, 98)( 47,108)( 49, 59)( 52, 69)( 53, 94)( 54, 93)
( 56, 97)( 57, 85)( 60, 84)( 61,100)( 63, 80)( 66, 81)( 70,107)( 71,109)
( 72, 89)( 75, 86)( 76,110)( 78, 91)( 92, 96)(104,105),( 1, 33, 53, 3, 70,
27, 90, 2, 18, 95,107, 12, 94,103, 48, 63, 30, 40, 82, 15, 68, 64, 36, 21,
62, 69, 78, 57, 73, 72, 97, 71, 28, 76, 24, 41,110, 46,109, 56, 89, 13, 85,
91, 52, 16, 77, 35, 25, 11, 5, 44, 9, 99, 80)( 4, 32, 74, 34,102, 67, 88,
17, 61, 96, 93,101,108, 51, 81, 26, 65,106, 31, 59,105, 45, 86, 60, 43, 42,
83, 39, 22, 38, 29, 55, 20, 19, 14, 79, 50, 84, 75, 98,104, 49, 6, 10, 23,
58, 66, 7, 47, 8, 54, 92,100, 87, 37)],
[[[[]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,1,1,5,-1,3,1,4,1,5,-1,2,-1,
3,1,4,1,2,-1]]],[[[2,1,1,1],[2,2],[4,1,3,1,1,1,2,1,4,1,2,1,3,1]],[[1,1,2,
3]]],[[[2,2,1,1,2,-3,1,1]]],[[[1,1,2,3]],[[2,2,1,1]]],[[[2,2],[3,2,2,3]]],[[[
1,1]],[[2,1]]]]);
LIBTOM( "27:2^2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,3,4,6],[1,2,5,7],[1,3,5,8],[1,4,5,9],[1,5,
10],[1,2,3,4,5,6,7,8,9,11],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,10,14],[1,
5,10,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16],[1,2,5,7,10,12,15,17],[1,3,5,8,
10,13,15,18],[1,4,5,9,10,14,15,19],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,
1],[1,3,3,1,1,3,1,1,1,1],[1,9,1,3,1,1],[1,9,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1],[
1,9,9,1,1,9,3,3,1,1,3,1,1,1,1],[1,27,1,9,1,3,1,1],[1,27,1,9,1,3,1,1],[1,1,1,1,
1,1,1,1],[1,27,27,1,1,27,9,9,1,1,9,3,3,1,1,3,1,1,1,1]],
[1,2,2,2,3,4,6,6,6,9,12,18,18,18,27,36,54,54,54,108],
[20,6,6,20,20,6,11,11,20,20,11,16,16,20,20,16,20,20,20,20],
[1,1,1,1,1,1,5,5,1,1,5,10,10,1,1,10,15,15,1,15],
[( 1, 71)( 3, 35)( 4, 40)( 5,105)( 6, 36)( 7, 50)( 8, 66)( 9,106)
( 10, 74)( 11,102)( 12, 49)( 13, 42)( 14, 43)( 15, 23)( 16, 25)( 17,103)
( 18, 47)( 19, 75)( 21, 30)( 22, 99)( 24, 51)( 26, 94)( 27, 63)( 28, 83)
( 29, 31)( 32, 96)( 33, 90)( 34,104)( 37, 45)( 38, 76)( 39, 62)( 41, 58)
( 44, 46)( 48, 87)( 52,101)( 53, 70)( 54, 73)( 55, 77)( 56, 86)( 57, 81)
( 59, 72)( 60, 65)( 61, 98)( 64, 95)( 67, 78)( 68, 93)( 69,108)( 79, 84)
( 80,110)( 82, 89)( 85, 92)( 88,107)( 91,100)( 97,109),( 1, 61, 97,103, 17,
109, 98, 71, 84, 25, 83, 87, 58, 68, 74,110, 51, 56, 15, 43, 88, 5, 66, 34,
94, 6, 90, 53, 65, 99, 57, 81, 22, 60, 70, 33, 36, 26,104, 8,105,107, 14,
23, 86, 24, 80, 10, 93, 41, 48, 28, 16, 79)( 2,108, 7, 82, 54, 72,101, 13,
76, 27, 75, 11, 4, 35, 47, 62, 31, 32, 21, 55, 44, 49, 37,106, 92, 64, 91,
20,100, 95, 85, 9, 45, 12, 46, 77, 30, 96, 29, 39, 18, 3, 40,102, 19, 63,
38, 42, 52, 59, 73, 89, 50, 69)],
[[[[]]],[[[1,1,2,1]]],[[[1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1],[3,1,5,
1],[4,1,7,1],[8,1,5,1,4,1,3,1,6,1,3,1,1,1,8,-1,5,-1,2,-1,3,1,6,1,7,1,6,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1],[5,1,6,1,3,1,6,1,3,1,2,1,5,1,4,1,3,
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3,4,1,6,1,3,1,1,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1],[6,1,2,1,4,1,3,1,
2,1,5,1,4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,2,3,4,1,3,1,5,1,3,
1,1,1,3,1,4,1]],[[2,2],[1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1],[
3,1,4,1,3,1,1,1,6,1,4,1,5,-1,2,-1,3,1,4,1,2,-1,6,1,5,1]],[[1,1]]],[[[1,1,2,
1],[2,2,1,1],[4,1,3,1,2,3,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,4,1,5,
-1,3,1,4,1,5,-1,2,-1,3,1,4,1,2,-1]]],[[[2,1,1,1],[2,2],[2,1,3,1,1,1,2,2,4,2,3,
1]],[[1,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,2,1],[2,1,4,1],[6,1,5,1,4,1,3,1,7,1,3,1,
4,1,3,1,1,1,5,-1,3,1,4,1,5,-1,6,1,7,1]]],[[[2,2]]],[[[2,3]],[[1,1]]],[[[1,1,2,
1]],[[2,2]]],[[[2,2]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[3,1,4,1],[2,1,4,1,
3,1,2,1,5,1,4,1,3,1,5,1],[6,1,7,-1,6,1,3,1,1,1,7,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "113:56",
[[1],[1,2],[1,2,3],[1,4],[1,2,3,5],[1,2,4,6],[1,2,3,4,6,7],[1,2,3,4,5,6,7,8],[
1,9],[1,2,9,10],[1,2,3,9,10,11],[1,4,9,12],[1,2,3,5,9,10,11,13],[1,2,4,6,9,10,
12,14],[1,2,3,4,6,7,9,10,11,12,14,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16]],
0,
[[1],[1,1],[1,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[
1,1],[1,113,1,1],[1,113,113,1,1,1],[1,113,1,1],[1,113,113,113,1,1,1,1],[1,113,
113,113,1,1,1,1],[1,113,113,113,113,113,1,1,1,1,1,1],[1,113,113,113,113,113,
113,113,1,1,1,1,1,1,1,1]],
[1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328],
[16,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16],
[1,1,1,1,1,1,1,1,1,9,9,9,9,9,9,9],
[( 1, 56, 33, 96, 91, 88, 24,106)( 2, 87, 27, 4, 66, 75, 11, 92)
( 3, 86, 5, 71, 72, 35, 78, 85)( 6, 32, 9, 60, 97,114,111, 43)
( 7, 25,100, 26,109, 46, 93, 48)( 8, 19, 95, 58, 17, 51, 40, 81)
( 12,112, 16, 54,101, 41, 14, 15)( 13, 36, 42,102, 62, 63, 30, 67)
( 18, 89,113,108, 29, 34, 22, 37)( 20, 64, 61, 90, 65, 82, 39, 76)
( 23,105, 45, 69, 55,110, 49, 47)( 28, 98, 68,103, 94,107, 59, 73)
( 31, 79, 38, 70, 74, 57,104, 53)( 44, 99, 83, 52, 77, 50, 84, 80),
( 1, 93, 82,104, 51, 58, 64, 8, 98, 47, 16, 23, 77, 53)( 2, 87, 78, 26, 13,
42,100, 73, 80, 72, 14, 18, 50,102)( 3, 81, 85, 27, 56, 38,103, 45, 17, 20,
89, 61, 35, 57)( 4, 36,110,111, 68, 46, 40, 22,105, 49, 41, 60, 86, 69)
( 5,113, 88, 54, 67, 55, 48, 83, 70, 9, 92, 33, 44, 66)( 6, 96, 84, 94,101,
12, 39, 91, 31, 76, 71, 59, 97, 11)( 7, 32, 95, 43, 25,109,107, 65, 74, 29,
28, 15, 90, 30)( 10, 79,112, 34, 63, 75,108,114, 19, 37, 99,106, 24, 62)],
[[[[]]],[[[1,-4]]],[[[1,2]]],[[[1,1,2,-1,1,3]]],[[[1,-1]]],[[[2,3]]],[[[1,-2,
2,-1]]],[[[2,2,1,-3]]],[[[1,1,2,1,1,-1,2,-1]]],[[[1,-4]],[[1,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1,1,1,2,-1]],[[1,2]]],[[[1,1,2,-1,1,-1,2,-1]],[[2,2]]],[[[2,1,
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